Let us consider partial differential equations with discontinuous coefficients andprove that, if the known term belongs to the Morrey space, the highest order derivatives of the solutions of the equations belong to the same space. As a consequence it is possible to obtain local Holder continuity for the solutions. Moreover, are discussed some estimates for the derivatives of local minimizers of variational integrals.

Operators in Morrey Type Spaces and Applications

RAGUSA, Maria Alessandra
2012-01-01

Abstract

Let us consider partial differential equations with discontinuous coefficients andprove that, if the known term belongs to the Morrey space, the highest order derivatives of the solutions of the equations belong to the same space. As a consequence it is possible to obtain local Holder continuity for the solutions. Moreover, are discussed some estimates for the derivatives of local minimizers of variational integrals.
2012
Parabolic equation; Morrey spaces; Well-posedness; discontinuous coefficients; parabolic equations; regularity results
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11769/8499
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